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Integral Transforms and Special Functions Volume 22, 2011 - Issue 12
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Original Articles

Power series inequalities via Buzano's result and applications

Alawiah Ibrahim Department of Mathematics, School of Engineering and Science, Victoria University, PO Box 14428, Melbourne City, MC, 8001, AustraliaCorrespondence[email protected]
&
S. S. Dragomir Department of Mathematics, School of Engineering and Science, Victoria University, PO Box 14428, Melbourne City, MC, 8001, Australia; School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag-3, Wits-2050, Johannesburg, South Africa
Pages 867-878 | Received 20 Dec 2010, Accepted 06 Jan 2011, Published online: 25 Mar 2011

References

  • Baricz , A. 2007 . Functional inequalities involving special functions II . J. Math. Anal. Appl. , 327 : 1202 – 1213 .
  • Buzano , M. L. 1974 . Generalizzazione della diseguaglianza di Cauchy-Schwarz (Italian) . Rend. Sem. Math. Univ. Politec. Torino , 32 ( 1971/73 ) : 405 – 409 .
  • Cerone , P. and Dragomir , S. S. 2007 . Some applications of de Bruijn's Inequality for power series . Integral Transforms Spec. Funct. , 18 ( 6 ) : 387 – 396 .
  • de Bruijn , N. G. 1960 . Problem 12 . Wisk. Opgaven , 21 : 12 – 14 .
  • Dragomir , S. S. 1988 . Inequalities of Cauchy–Bunyakovsky–Schwartz's type for positive linear functionals (Romanian) . Gaz. Mat. Metod. (Bucharest) , 9 : 162 – 164 .
  • Dragomir , S. S. 2009 . Some inequalities for power series of selfadjoint operators in Hilbert spaces via reverses of the Schwarz inequality . Integral Transforms Spec. Funct , 20 ( 10 ) : 757 – 767 .
  • Grinshpan , A. Z. 2008 . Inequalities for formal power series and entire functions . J. Math. Anal. Appl. , 338 : 1418 – 1430 .
  • Mitrinović , D. S. , Pećarić , J. E. and Fink , A. M. 1993 . Classical and New Inequalities in Analysis , Dordrecht/Boston/London : Kluwer Academic Publisher .

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